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Finding the Fourth Proportional to 105.60, 145.74 and 66.78

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Solution

The fourth proportional to 105.60, 145.74 and 66.78 is: 92.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.60 : 145.74 = 66.78 : x
  2. Step 2: Convert to fraction form
    105.60/145.74 = 66.78/x
  3. Step 3: Cross multiply
    105.60x = 145.74 × 66.78
  4. Step 4: Simplify right side
    105.60x = 9,732.52
  5. Step 5: Solve for x
    x = 9,732.52/105.60
  6. Step 6: Final answer
    x = 92.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.